871008 has 48 divisors (see below), whose sum is σ = 2350656. Its totient is φ = 282240.

The previous prime is 871001. The next prime is 871021. The reversal of 871008 is 800178.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871001) by changing a digit.

871008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4023 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (48972).

2⁸⁷¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175328).

871008 is an abundant number, since it is smaller than the sum of its proper divisors (1479648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

871008 is a wasteful number, since it uses less digits than its factorization.

871008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 871008 is about 933.2780936034. The cubic root of 871008 is about 95.5008817294.

The spelling of 871008 in words is "eight hundred seventy-one thousand, eight".